Carnot group - Open Access .click

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JPhys Photonics
Optical fibers, long an enabling technology for telecommunications, are proving to play a central role in a growing number of modern applications, starting from high speed broad band internet to medical surgery and entering across the entire spectrum of ...
Mário F S Ferreira +22 more
doaj +1 more source

On coincidence of $p$-module of a family of curves and $p$-capacity on the Carnot group

, 2003
Irina Markina
openalex +2 more sources

Multicomplexes on Carnot Groups and Their Associated Spectral Sequence. [PDF]

J Geom Anal, 2023
Lerario A, Tripaldi F.
europepmc +1 more source

Horizontal semiconcavity for the square of Carnot-Carathéodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations [PDF]

arXiv
We show that the square of Carnot-Carath\'eodory distance from the origin, in step 2 Carnot groups, enjoys the horizontal semiconcavity (h-semiconcavity) everywhere in the group including the origin. We first give a proof in the case of ideal Carnot groups, based on the simple group structure as well as estimates for the Euclidean semiconcavity.
arxiv

Lipschitz extensions into Jet space Carnot groups [PDF]

, 2010
Stefan Wenger, Robert M. Young
openalex +1 more source

Generalized Hadamard's inequality and r-convex functions in Carnot groups

, 2004
Mingbao Sun, Xiaoping Yang
openalex +1 more source

Exceptional sets for self-similar fractals in Carnot groups [PDF]